Equivalence of the defining sequences for ultradistributions
HTML articles powered by AMS MathViewer
- by Soon-Yeong Chung and Dohan Kim PDF
- Proc. Amer. Math. Soc. 118 (1993), 93-94 Request permission
Abstract:
We prove that $M_p^{\ast }p! \sim {M_p}$. This result is a stronger version of the conjecture $M_p^{\ast }p! \supset {M_p}$ which has been given by Komatsu in Ultradistributions I, Structure theorems and a characterization (J. Fac. Sci. Univ. Tokyo Sect. IA 20 (1973), 25-105).References
- Hikosaburo Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105. MR 320743
- S. Mandelbrojt, Séries adhérentes, régularisation des suites, applications, Gauthier-Villars, Paris, 1952 (French). MR 0051893
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 93-94
- MSC: Primary 46F05; Secondary 26E10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1163331-2
- MathSciNet review: 1163331